In this paper a class of parallel Rosenbrock Formulas in real-time simulation is constructed for the multiprocessor system. A-stable formulas of two-stage thirdorder and A(α)-stable formulas with α≈87° of thre...In this paper a class of parallel Rosenbrock Formulas in real-time simulation is constructed for the multiprocessor system. A-stable formulas of two-stage thirdorder and A(α)-stable formulas with α≈87° of three-stage forth-order are constructed. The numerical examples demonstrate that these formulas can solve the initial problems for the stiff ordinary differential equations with high efficiency.展开更多
This paper deals with a class of combined RK- Rosenbrock (CRKR) methods for a partitioned system of stiff differential equations based on the parallelism across the system. Nonstiff subsystem is integrated by a explic...This paper deals with a class of combined RK- Rosenbrock (CRKR) methods for a partitioned system of stiff differential equations based on the parallelism across the system. Nonstiff subsystem is integrated by a explicit RK method while a Rosenbrock method is used for the stiff subsystem. The paper discusses numerical stability, and the numerical tests are conducted on a multiprocessor system.展开更多
当前处理器由于较高的能量消耗,导致处理器热量散发的提高及系统可靠性的降低,同时任务实际运行中的错误也降低了系统的可靠性.因此同时满足节能性及容错性已经成为目前计算机领域较为关心的问题.提出的调度算法针对实时多处理器计算环...当前处理器由于较高的能量消耗,导致处理器热量散发的提高及系统可靠性的降低,同时任务实际运行中的错误也降低了系统的可靠性.因此同时满足节能性及容错性已经成为目前计算机领域较为关心的问题.提出的调度算法针对实时多处理器计算环境,以执行时间最短的任务优先调度为基础,结合其他有效技术(共享空闲时间回收及检查点技术),使得实时任务在其截止期内完成的同时,能够动态地降低整个系统的能量消耗及动态容错.针对独立任务集及具有依赖关系的任务集,提出两种算法:STFBA1及STFBA2(shortest taskfirst based algorithm)..通过实验与目前所知的有效算法相比,算法具有更好的性能(调度长度及能量消耗)及较低的通信时间复杂度.展开更多
文摘In this paper a class of parallel Rosenbrock Formulas in real-time simulation is constructed for the multiprocessor system. A-stable formulas of two-stage thirdorder and A(α)-stable formulas with α≈87° of three-stage forth-order are constructed. The numerical examples demonstrate that these formulas can solve the initial problems for the stiff ordinary differential equations with high efficiency.
文摘This paper deals with a class of combined RK- Rosenbrock (CRKR) methods for a partitioned system of stiff differential equations based on the parallelism across the system. Nonstiff subsystem is integrated by a explicit RK method while a Rosenbrock method is used for the stiff subsystem. The paper discusses numerical stability, and the numerical tests are conducted on a multiprocessor system.
文摘当前处理器由于较高的能量消耗,导致处理器热量散发的提高及系统可靠性的降低,同时任务实际运行中的错误也降低了系统的可靠性.因此同时满足节能性及容错性已经成为目前计算机领域较为关心的问题.提出的调度算法针对实时多处理器计算环境,以执行时间最短的任务优先调度为基础,结合其他有效技术(共享空闲时间回收及检查点技术),使得实时任务在其截止期内完成的同时,能够动态地降低整个系统的能量消耗及动态容错.针对独立任务集及具有依赖关系的任务集,提出两种算法:STFBA1及STFBA2(shortest taskfirst based algorithm)..通过实验与目前所知的有效算法相比,算法具有更好的性能(调度长度及能量消耗)及较低的通信时间复杂度.
